Attachment # 00002885 - 1501Math107Schultz-Exam3_6384.docx
1501Math107Schultz-Exam3_6384.docx (45 KB)
Raw Preview of Attachment:
(refer to the detailed question and attachment below)
MULTIPLE CHOICE SECTION.Choose the best alternative.(2 pts each)Solve: 2m2 − m  9  0. a)1 73c)171i44411 b)35id)71444Solve: 5x − 6  20. a)−14,26c)−70,13055b)−26,26d)26555Solve: 4 − 3x ≤ 2. a)[2, 2 / 3]c)[2 / 3, 2]b)(−∞, 2 / 3] ∪[2, ∞)d)(−∞, 2] ∪[2 / 3, ∞)Solve: 2 − 5x ≥ 3. a)[−1 / 5,1]c)(−∞, −1] ∪[1 / 5, ∞)b)(−∞, −1 / 5] ∪[1, ∞)d)[1, −1 / 5]Solve: x2 − 3x −10  0. a)(−∞, −5) ∪ (2, ∞)c)(−2, 5)b)(−5, 2)d)(−∞, −2) ∪ (5, ∞)Math 107 Section 6384 – Exam #3 – Due February 22, 2015 – page 2 of 46.Solve:x − 5≤ 0.x  2(−2, 5]a)(−∞, −5] ∪ (2, ∞)c)b)(−2, 5)d)(−∞, −5) ∪ (−2, ∞)7.For the graph of the functionf (x)  2x2 −12x 14, find the vertex.a)(3,4)c)(−4, 3)b)(6,14)d)(3, −4)The Shanghai World Financial Center is about 1614 feet tall. How long would it take an object falling freely from the top to reach the ground?a)About 10.0 secc)b)About 50.4 secd)Use s  16t 2 . About 2.5 sec About 100.9 sec9.Solve x − 3.− 3xa)No solutionc)5b)11/2d)−2, 5State the tail behavior of f (x)  −5x 3 − 6x2  2x −1. Refer to the instructions for Exercises 11-18 on page 306 in Section 4.1 of the textbook, and classify the tail behavior as one of the pictures labeled a), b), c), or d). State the tail behavior of f (x)  6x8 − 3x2  4. Refer to the instructions for Exercises 11-18 on page 306 in Section 4.1 of the textbook, and classify the tail behavior as one of the pictures labeled a), b), c), or d). 12.Find the vertical asymptote off (x) x − 6.(x − 2)2x  −3a)c)x 2b)x  6d)x −2Determine the domain of f (x)  x2  x −12. a)(−∞, 4) ∪ (3, ∞)c)(−∞, −4] ∪[3, ∞)b)(−∞, −3] ∪[4, ∞)d)[−4, 3]Math 107 Section 6384 – Exam #3 – Due February 22, 2015 – page 3 of 4SHORT ANSWER SECTION. Be careful; there is no partial credit for these questions.Questions 14 and 15 refer to the polynomial f (x)  3x(x − 3)2 (x  2)3 (x2 − 3).This function has five zeros. Complete the table. List each of the zeros (there are five), and the multiplicity of each.(Each lettered problem is worth 2 pts each)ZeroMultiplicitya)b)c)d)e)15.Determine the degree of this polynomial.(2 pts)In Questions 16, 17, and 18, write in simplest a  bi form.(3 pts each)16.4925− 10017.(1 − 4i)(7  6i)18.2 − i3− 2iLONG ANSWER SECTION. Solve the problems. You must show all work in order to receive any credit.Consider the quadratic function f (x)  −x2  2x  8 a.Find the vertex.(4 pts)b.State whether there is a maximum or minimum value and find that value.(4 pts)c.Find the domain.(1 pt)d.Find the range.(2 pts)e.Find the interval(s) on which the function is increasing.(2 pts)f.Find the interval(s) on which the function is decreasing.(2 pts)g.Find the coordinates of the x-intercepts of the graph of this function.(4 pts)h.Find the coordinates of the y-intercept of the graph of this function.(3 pts)i.Sketch the graph of the function.(4 pts)5x20.Suppose that f (x) .x2 − x − 6a.Determine the domain of f .(5 pts)b.Determine the vertical asymptote(s), if any, of the graph of f .(6 pts)c.Determine the horizontal asymptote(s), if any, of the graph of f .(3 pts)d,Sketch the graph of f .(6 pts)A homeowner wants to fence a rectangular garden using 60 ft of fencing. An existing stone wall will be used as one side of the rectangle. Find the dimensions for which the area is a maximum. (10 pts) Math 107 Section 6384 – Exam #3 – Due February 22, 2015 – page 4 of 4Classic Furniture Concepts has determined that when x hundred wooden chairs are built, the average cost per chair is given by C(x)  0.1x2 − 0.7x 1.625, where C(x) is in hundreds of dollars.a.How many chairs should be built to minimize the average cost per chair?(6 pts)For the number of chairs you found in part a), what is the average cost? That is, what is the least average cost per chair?(6 pts)In this problem, be careful. The variable x is in hundreds, and the variable y is in hundreds of dollars.So, if you find x = 2, that is 200 chairs. You need to find C(2) = 0.625, which is 0.625 hundred dollars, or $62.50. (Of course, these are not the correct values.)
Tutorials for this Question
  1. ashim_ag
    Tutorial # 00047328 Posted By: ashim_ag Posted on: 02/21/2015 10:25 AM
    Puchased By: 3
    Tutorial Preview
    The solution of Math 10 exam 3 tutorial fully answered...
      Get the Solution
    Attachments
    merged_document_4_(1).pdf (1016.46 KB)
Whatsapp Lisa